Pith Number

pith:JKG4DQD7

pith:2014:JKG4DQD7GGHALJKJHGQPLQRQXE

not attested not anchored not stored refs pending

Multistep stochastic mirror descent for risk-averse convex stochastic programs based on extended polyhedral risk measures

Vincent Guigues

arxiv:1407.6661 v6 · 2014-07-24 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKG4DQD7GGHALJKJHGQPLQRQXE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:06:23.153530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a8dc1c07f318e05a54939a0f5c230b92640bdb29ef2b51386eaf5ffd83bfa16

Aliases

arxiv: 1407.6661 · arxiv_version: 1407.6661v6 · doi: 10.48550/arxiv.1407.6661 · pith_short_12: JKG4DQD7GGHA · pith_short_16: JKG4DQD7GGHALJKJ · pith_short_8: JKG4DQD7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JKG4DQD7GGHALJKJHGQPLQRQXE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4a8dc1c07f318e05a54939a0f5c230b92640bdb29ef2b51386eaf5ffd83bfa16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f32912552a882377c6679bff67fa0b09d5c4bb8f2923390071fae6337dffdd93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-07-24T17:37:43Z",
    "title_canon_sha256": "17f649d075e14ac7a52fce74e4262444b113a6826dfa213f0a00f89d8486c1ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6661",
    "kind": "arxiv",
    "version": 6
  }
}